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NDA 2024 GAT · General Knowledge · Motion, Forces and Gravitation · hard

A simple pendulum has a time period of 2 s on the Earth (a seconds pendulum). If it is taken to the Moon, where g is one-sixth of that on the Earth…

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A simple pendulum has a time period of 2 s on the Earth (a seconds pendulum). If it is taken to the Moon, where g is one-sixth of that on the Earth, its time period will be nearly
  1. A. 12 s
  2. B. 0.8 s
  3. C. 4.9 s
  4. D. 2 s
Show answer and solution

Answer: (C) 4.9 s

T = 2π√(L/g). If g becomes g/6, T becomes √6 times larger, so T = 2√6 ≈ 4.9 s. The trap is 12 s, which comes from multiplying by 6 instead of √6. The period does depend on g, so it cannot stay 2 s, and a smaller value would mean a stronger field.
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Original question written in the NDA 2024 GAT pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake